Hi there, i am in need of some urgent help for my maths homework. It has to be handed in within ten hours and i really need help with the following:
(*= to the power of)

1. Find the inverse of the function given by f(x)=4x-7

2.a. Given that y=3logb 4-2logb 8-logb 3 express y as a single logarithm to base b. Find the value of y when b=3

2.b. Suppose that (2x+a)3*=px3* + qx2* + 150x -125. Using the third row of Pascal's triangle(or otherwise) find the value of a, p and q

3. Consider these two functions: f(x)= 3/x-4 x cannot be equaled to 4 and g(x)=x2 (squared)

a) find the inverse function f-1(x) and clearly state any values of x for which the inverse is not defined
b) find the composite functions f o g (x) and g o f (x) , clearly stating any values of x for which these composites are not defined.

Hi there, i am in need of some urgent help for my maths homework. It has to be handed in within ten hours and i really need help with the following:
(*= to the power of)

1. Find the inverse of the function given by f(x)=4x-7

From you'll get

Solve this equation for y.

Quote:

2.a. Given that y=3logb 4-2logb 8-logb 3 express y as a single logarithm to base b. Find the value of y when b=3

Use the log rules:

If b = 3 then y = -1

Quote:

...

3. Consider these two functions: f(x)= 3/x-4 x cannot be equaled to 4 and g(x)=x2 (squared)

a) find the inverse function f-1(x) and clearly state any values of x for which the inverse is not defined
b) find the composite functions f o g (x) and g o f (x) , clearly stating any values of x for which these composites are not defined.

...

to a) Determine domain and range of f. Then you know the domain and range of too. Swap x for y to get the equation of .